%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:27:50 PM UTC 2026
% Result : Theorem 5.42s 1.14s
% Output : Proof 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 43
% Syntax : Number of formulae : 187 ( 171 unt; 0 def)
% Number of atoms : 207 ( 162 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 185 ( 165 ~; 15 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-4 aty)
% Number of variables : 31 ( 6 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f65_neg,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f65_nnf,plain,
~ pred_attacker(name_objective),
inference(nnf_transformation,[status(thm)],[f65_neg]) ).
fof(f65_sk,plain,
~ pred_attacker(name_objective),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c65,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(t240,plain,
ifeq(pred_attacker(name_objective),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c65]) ).
fof(f51,axiom,
! [VAR_V_50X30] :
( pred_attacker(VAR_V_50X30)
=> pred_attacker(tuple_T_in_1(VAR_V_50X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f51_nnf,plain,
! [VAR_V_50X30] :
( pred_attacker(tuple_T_in_1(VAR_V_50X30))
| ~ pred_attacker(VAR_V_50X30) ),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
! [VAR_V_50X30] :
( pred_attacker(tuple_T_in_1(VAR_V_50X30))
| ~ pred_attacker(VAR_V_50X30) ),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c51,plain,
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(hi15,axiom,
ifeq(pred_attacker(X0),true,pred_attacker(tuple_T_in_1(X0)),true) = true,
inference(equality_encoding,[status(esa)],[c51]) ).
fof(f41,axiom,
pred_attacker(tuple_true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f41_nnf,plain,
pred_attacker(tuple_true),
inference(nnf_transformation,[status(thm)],[f41]) ).
cnf(c41,plain,
pred_attacker(tuple_true),
inference(cnf_transformation,[status(esa)],[f41_nnf]) ).
cnf(hi5,axiom,
pred_attacker(tuple_true) = true,
inference(equality_encoding,[status(esa)],[c41]) ).
cnf(h1,plain,
pred_attacker(tuple_T_in_1(tuple_true)) = true,
inference(hyper_resolution,[status(thm)],[hi15,hi5]) ).
fof(f49,axiom,
! [VAR_V_44] :
( pred_attacker(VAR_V_44)
=> pred_attacker(tuple_T_in_3(VAR_V_44)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f49_nnf,plain,
! [VAR_V_44] :
( pred_attacker(tuple_T_in_3(VAR_V_44))
| ~ pred_attacker(VAR_V_44) ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [VAR_V_44] :
( pred_attacker(tuple_T_in_3(VAR_V_44))
| ~ pred_attacker(VAR_V_44) ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( pred_attacker(tuple_T_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(hi13,axiom,
ifeq(pred_attacker(X0),true,pred_attacker(tuple_T_in_3(X0)),true) = true,
inference(equality_encoding,[status(esa)],[c49]) ).
cnf(h2,plain,
pred_attacker(tuple_T_in_3(tuple_true)) = true,
inference(hyper_resolution,[status(thm)],[hi13,hi5]) ).
fof(f64,axiom,
! [VAR_K_XOR_K1_10X305,VAR_R1_10X306] :
( ( pred_attacker(tuple_T_in_1(VAR_R1_10X306))
& pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f64_nnf,plain,
! [VAR_K_XOR_K1_10X305,VAR_R1_10X306] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(VAR_R1_10X306))
| ~ pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) ),
inference(nnf_transformation,[status(thm)],[f64]) ).
fof(f64_sk,plain,
! [VAR_K_XOR_K1_10X305,VAR_R1_10X306] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(VAR_R1_10X306))
| ~ pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) ),
inference(skolemisation,[status(esa)],[f64_nnf]) ).
cnf(c64,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f64_sk]) ).
cnf(hi28,axiom,
ifeq(pred_attacker(tuple_T_in_3(X0)),true,ifeq(pred_attacker(tuple_T_in_1(X1)),true,pred_attacker(tuple_T_out_4(name_objective)),true),true) = true,
inference(equality_encoding,[status(esa)],[c64]) ).
cnf(h298,plain,
pred_attacker(tuple_T_out_4(name_objective)) = true,
inference(hyper_resolution,[status(thm)],[hi28,h2,h1]) ).
fof(f46,axiom,
! [VAR_V_35] :
( pred_attacker(tuple_T_out_4(VAR_V_35))
=> pred_attacker(VAR_V_35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f46_nnf,plain,
! [VAR_V_35] :
( pred_attacker(VAR_V_35)
| ~ pred_attacker(tuple_T_out_4(VAR_V_35)) ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
! [VAR_V_35] :
( pred_attacker(VAR_V_35)
| ~ pred_attacker(tuple_T_out_4(VAR_V_35)) ),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c46,plain,
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_4(X0)) ),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(hi10,axiom,
ifeq(pred_attacker(tuple_T_out_4(X0)),true,pred_attacker(X0),true) = true,
inference(equality_encoding,[status(esa)],[c46]) ).
cnf(t8,plain,
pred_attacker(name_objective) = true,
inference(hyper_resolution,[status(thm)],[hi10,h298]) ).
cnf(t356,plain,
pred_attacker(name_objective) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t1691,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t240,t356]) ).
cnf(t203,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t203]) ).
cnf(t1692,plain,
false = true,
inference(step,[status(thm)],[t1691,t256]) ).
cnf(t1689,plain,
false = true,
inference(orient,[status(thm)],[t1692]) ).
fof(f0,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
fof(f0_nnf,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f1,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1_nnf,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f2,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2_nnf,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f3,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f3_nnf,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f4,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f4_nnf,plain,
constr_CONST_0x30 != constr_ZERO,
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
constr_CONST_0x30 != constr_ZERO,
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
constr_CONST_0x30 != constr_ZERO,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f5,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f5_nnf,plain,
constr_CONST_0x30 != name_c,
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
constr_CONST_0x30 != name_c,
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
constr_CONST_0x30 != name_c,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f6,axiom,
constr_CONST_0x30 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f6_nnf,plain,
constr_CONST_0x30 != name_k,
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
constr_CONST_0x30 != name_k,
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
constr_CONST_0x30 != name_k,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f7,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f7_nnf,plain,
constr_CONST_0x30 != name_objective,
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
constr_CONST_0x30 != name_objective,
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
constr_CONST_0x30 != name_objective,
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f8,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f8_nnf,plain,
constr_CONST_1 != constr_CONST_2,
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
constr_CONST_1 != constr_CONST_2,
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
constr_CONST_1 != constr_CONST_2,
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f9,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f9_nnf,plain,
constr_CONST_1 != constr_CONST_3,
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
constr_CONST_1 != constr_CONST_3,
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
constr_CONST_1 != constr_CONST_3,
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f10,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f10_nnf,plain,
constr_CONST_1 != constr_CONST_4,
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
constr_CONST_1 != constr_CONST_4,
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
constr_CONST_1 != constr_CONST_4,
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f11,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f11_nnf,plain,
constr_CONST_1 != constr_ZERO,
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
constr_CONST_1 != constr_ZERO,
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
constr_CONST_1 != constr_ZERO,
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f12,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f12_nnf,plain,
constr_CONST_1 != name_c,
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
constr_CONST_1 != name_c,
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
constr_CONST_1 != name_c,
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
fof(f13,axiom,
constr_CONST_1 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f13_nnf,plain,
constr_CONST_1 != name_k,
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
constr_CONST_1 != name_k,
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
constr_CONST_1 != name_k,
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
fof(f14,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f14_nnf,plain,
constr_CONST_1 != name_objective,
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
constr_CONST_1 != name_objective,
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
constr_CONST_1 != name_objective,
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
fof(f15,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f15_nnf,plain,
constr_CONST_2 != constr_CONST_3,
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
constr_CONST_2 != constr_CONST_3,
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
constr_CONST_2 != constr_CONST_3,
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
fof(f16,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f16_nnf,plain,
constr_CONST_2 != constr_CONST_4,
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
constr_CONST_2 != constr_CONST_4,
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
constr_CONST_2 != constr_CONST_4,
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f17,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f17_nnf,plain,
constr_CONST_2 != constr_ZERO,
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
constr_CONST_2 != constr_ZERO,
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
constr_CONST_2 != constr_ZERO,
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f18,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f18_nnf,plain,
constr_CONST_2 != name_c,
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
constr_CONST_2 != name_c,
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
constr_CONST_2 != name_c,
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
fof(f19,axiom,
constr_CONST_2 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f19_nnf,plain,
constr_CONST_2 != name_k,
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
constr_CONST_2 != name_k,
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
constr_CONST_2 != name_k,
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f20,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f20_nnf,plain,
constr_CONST_2 != name_objective,
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
constr_CONST_2 != name_objective,
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
constr_CONST_2 != name_objective,
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
fof(f21,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f21_nnf,plain,
constr_CONST_3 != constr_CONST_4,
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
constr_CONST_3 != constr_CONST_4,
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
constr_CONST_3 != constr_CONST_4,
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f22,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f22_nnf,plain,
constr_CONST_3 != constr_ZERO,
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
constr_CONST_3 != constr_ZERO,
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
constr_CONST_3 != constr_ZERO,
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
fof(f23,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f23_nnf,plain,
constr_CONST_3 != name_c,
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
constr_CONST_3 != name_c,
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
constr_CONST_3 != name_c,
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
fof(f24,axiom,
constr_CONST_3 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f24_nnf,plain,
constr_CONST_3 != name_k,
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
constr_CONST_3 != name_k,
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
constr_CONST_3 != name_k,
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
fof(f25,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f25_nnf,plain,
constr_CONST_3 != name_objective,
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
constr_CONST_3 != name_objective,
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
constr_CONST_3 != name_objective,
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
fof(f26,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f26_nnf,plain,
constr_CONST_4 != constr_ZERO,
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
constr_CONST_4 != constr_ZERO,
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
constr_CONST_4 != constr_ZERO,
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
fof(f27,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f27_nnf,plain,
constr_CONST_4 != name_c,
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
constr_CONST_4 != name_c,
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
constr_CONST_4 != name_c,
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
fof(f28,axiom,
constr_CONST_4 != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f28_nnf,plain,
constr_CONST_4 != name_k,
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
constr_CONST_4 != name_k,
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
constr_CONST_4 != name_k,
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
fof(f29,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f29_nnf,plain,
constr_CONST_4 != name_objective,
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
constr_CONST_4 != name_objective,
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
constr_CONST_4 != name_objective,
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
fof(f30,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f30_nnf,plain,
constr_ZERO != name_c,
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
constr_ZERO != name_c,
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
constr_ZERO != name_c,
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
fof(f31,axiom,
constr_ZERO != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f31_nnf,plain,
constr_ZERO != name_k,
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
constr_ZERO != name_k,
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
constr_ZERO != name_k,
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
fof(f32,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f32_nnf,plain,
constr_ZERO != name_objective,
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
constr_ZERO != name_objective,
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
constr_ZERO != name_objective,
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
fof(f33,axiom,
name_c != name_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f33_nnf,plain,
name_c != name_k,
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
name_c != name_k,
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
name_c != name_k,
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
fof(f34,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f34_nnf,plain,
name_c != name_objective,
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
name_c != name_objective,
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
name_c != name_objective,
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
fof(f35,axiom,
name_k != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f35_nnf,plain,
name_k != name_objective,
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
name_k != name_objective,
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
name_k != name_objective,
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13,c14,c15,c16,c17,c18,c19,c20,c21,c22,c23,c24,c25,c26,c27,c28,c29,c30,c31,c32,c33,c34,c35,c65]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1689]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 23:16:06 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.42/1.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.42/1.14 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------